103216000 has 64 divisors (see below), whose sum is σ = 256660560. Its totient is φ = 41280000.

The previous prime is 103215997. The next prime is 103216007. The reversal of 103216000 is 612301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103216007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12775 + ... + 19225.

Almost surely, 2^103216000 is an apocalyptic number.

103216000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128330280).

103216000 is an abundant number, since it is smaller than the sum of its proper divisors (153444560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103216000 is an frugal number, since it uses more digits than its factorization.

103216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 103216000 is about 10159.5275480703. The cubic root of 103216000 is about 469.0822592473.

Adding to 103216000 its reverse (612301), we get a palindrome (103828301).

The spelling of 103216000 in words is "one hundred three million, two hundred sixteen thousand".